Design issues for the Michaelis-Menten model

被引:50
作者
López-Fidalgo, J
Wong, WK
机构
[1] Univ Salamanca, Dept Stat, E-37008 Salamanca, Spain
[2] Univ Calif Los Angeles, Dept Biostat, Los Angeles, CA 90095 USA
关键词
D O I
10.1006/jtbi.2001.2497
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
We discuss design issues for the Michaelis-Menten model and use geometrical arguments to find optimal designs for estimating a subset of the model parameters, or a linear combination of the parameters. We propose multiple-objective optimal designs when the parameters have different levels of interest to the researcher. In addition, we compare six commonly used sequence designs in the biological sciences for estimating parameters and, propose optimal choices for the parameters for geometric designs using closed-form efficiency formulas. (C) 2002 Elsevier Science Ltd.
引用
收藏
页码:1 / 11
页数:11
相关论文
共 23 条
[1]  
[Anonymous], 1972, Sequential Analysis and Optimal Design
[2]   LOCALLY OPTIMAL DESIGNS FOR ESTIMATING PARAMETERS [J].
CHERNOFF, H .
ANNALS OF MATHEMATICAL STATISTICS, 1953, 24 (04) :586-602
[3]  
CLELAND WW, 1967, ADV ENZYMOL RAMB, V29, P1
[4]   ON THE EQUIVALENCE OF CONSTRAINED AND COMPOUND OPTIMAL DESIGNS [J].
COOK, RD ;
WONG, WK .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1994, 89 (426) :687-692
[5]   ANALYZING DATA FROM HORMONE-RECEPTOR ASSAYS [J].
CRESSIE, NAC ;
KEIGHTLEY, DD .
BIOMETRICS, 1981, 37 (02) :235-249
[6]   ESTIMATING MICHAELIS-MENTEN PARAMETERS - BIAS, VARIANCE AND EXPERIMENTAL-DESIGN [J].
CURRIE, DJ .
BIOMETRICS, 1982, 38 (04) :907-919
[7]   Optimal designs when the variance is a function of the mean [J].
Dette, H ;
Wong, WK .
BIOMETRICS, 1999, 55 (03) :925-929
[8]   EXPERIMENTAL-DESIGNS FOR ESTIMATING THE KINETIC-PARAMETERS FOR ENZYME-CATALYZED REACTIONS [J].
DUGGLEBY, RG .
JOURNAL OF THEORETICAL BIOLOGY, 1979, 81 (04) :671-684
[9]   OPTIMAL DESIGNS FOR DRUG, NEUROTRANSMITTER AND HORMONE RECEPTOR ASSAYS [J].
DUNN, G .
STATISTICS IN MEDICINE, 1988, 7 (07) :805-815
[10]   OPTIMUM ALLOCATION IN LINEAR REGRESSION THEORY [J].
ELFVING, G .
ANNALS OF MATHEMATICAL STATISTICS, 1952, 23 (02) :255-262